iBerry

review of linear algebra, applications to networks, structures, and estimation, Lagrange multipliers, differential equations of equilibrium, Laplace's equation and potential flow, boundary-value problems, minimum principles and calculus of variations, Fourier series, discrete Fourier transform, convolution & applications

Technology, Society, and Business, availability of huge quantities of information at our fingertips is transforming government, business, and many other aspects of society: search advertising and auctions, search and privacy, search ranking, internationalization, anti-spam efforts, local search, peer-to-peer search, search of blogs and online communities

overview of medical devices, FDA regulatory issues, biocompatibility and sterilization technology, biomechanical properties (isotropy/anisotropy, stiffness, bending stresses, contact stresses, multiaxial loading, plasticity, fatigue, fracture, wear, corrosion, design issues), Orthopedics, Dental, Cardiovascular, and Soft Tissue Reconstruction

explores basic principles of chemistry & application to engineering systems, relationship between electronic structure chemical bonding & atomic order, characterization of atomic arrangements in crystalline & amorphous solids, organic chemistry, solution chemistry, acid-base equilibria, electrochemistry, biochemistry, chemical kinetics, diffusion, phase diagrams, Examples: quizzes, Study Materials, Related Resources, Readings

numerical methods, initial-value problems, network flows and optimization: Readings, Projects, Study Materials, Course download

recognizing & solving convex optimization problems in engineering: Convex sets, functions, optimization problems, Basics of convex analysis, Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, Optimality conditions, duality theory, theorems of alternative, applications, Interior-point methods, signal processing, control, digital & analog circuit design, computational geometry, statistics, mech engineering

applied linear algebra & dynamical systems, applications to circuits, signal processing, communications, control systems: Least-squares aproximations of over-determined equations, least-norm solutions of underdetermined equations, Symmetric matrices, matrix norm & SVD, Eigenvalues & eigenvectors, Matrix exponential, stability, asymptotic behavior, Multi-input & output, impulse & step matrices, convolution & transfer matrix, Control, reachability, state transfer, least-norm inputs, Observability & least-squares state estimation: support notes, MATLAB files

derivation of symmetry theory,lattices, point groups, space groups, and their properties, use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces, applications to piezoelectricity and elasticity: course download, readings